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Finding the Third Proportional to 296,064 and 651,177

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Solution

The third proportional to 296,064 and 651,177 is: 1,432,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,064 : 651,177 = 651,177 : x
  2. Step 2: Convert to fraction form
    296,064/651,177 = 651,177/x
  3. Step 3: Cross multiply
    296,064x = 651,177 × 651,177
  4. Step 4: Simplify right side
    296,064x = 424,031,485,329
  5. Step 5: Solve for x
    x = 424,031,485,329/296,064
  6. Step 6: Final answer
    x = 1,432,229.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.